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卡尔·皮尔逊(KarlPearson,1857-1936.ppt
* Solution Step 1: State the null hypothesis and the alternate hypothesis. H0: There is no relationship between adjustment to civilian life and where the individual lives after being released from prison. H1: There is a relationship between adjustment to civilian life and where the individual lives after being released from prison. Step 2: Select the level of significance. α = 0.01 as stated in the problem Step 3: Select the test statistic. The test statistic follows the chi-square distribution, designated as χ2 EXCERSICE-11 p.651 The bank credit card department of Carolina Bank know from experience that 5 percent of its card holders have had some high school, 15 percent have completed high school, 25 percent have had some college, and 55 percent have completed college. Of the 500 card holders whose cards have been called in for failure to pay their charges this month, 50 had some high school, 100 had completed high school, 190 had some college, and 160 had completed college. Can we conclude that the distribution of card holders who do not pay their charges is different from all others? Use the 0.01 significance level. * solution * * Exercise 假設地區對於不同肉類的選擇如下: 北部地區(含台中地區),在百分之五的顯著水準下,試檢定地區是否和選擇的肉類有關? 牛 豬 魚 總和 北部 南部 總和 * Step 4: Formulate the decision rule. * Computing Expected Frequencies (fe) * Computing the Chi-square Statistic * Conclusion 5.729 The computed χ2 of 5.729 is in the “Do not rejection H0” region. The null hypothesis is not rejected at the .01 significance level. We conclude there is no evidence of a relationship between adjustment to civilian life and where the prisoner resides after being released from prison. For the Federal Correction Agency’s advisement program, adjustment to civilian life is not related to where the ex-prisoner lives. * 卡方檢定在多項式實驗上之應用 A multinomial experiment is a statistical experiment that has the following properties: The experiment consists of n repeated trials. Each trial has a dis
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